To add the fractions \( \frac{2}{3} \) and \( \frac{1}{6} \), we first need a common denominator. The least common multiple of the denominators 3 and 6 is 6.
Now, we can convert \( \frac{2}{3} \) to a fraction with a denominator of 6:
\[ \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} \]
Now, we can add \( \frac{4}{6} \) and \( \frac{1}{6} \):
\[ \frac{4}{6} + \frac{1}{6} = \frac{4 + 1}{6} = \frac{5}{6} \]
Therefore,
\[ \frac{2}{3} + \frac{1}{6} = \frac{5}{6}. \]